function mp=Build_RotateSampleOptRadii()
% Bulid mp obj （contains models and all arguments)
%% init
pace=0.5;
Pst=[0 0 0]-pace*0.51;
Ped=[12 12 6];
Ped=FCM_dV.round_Ped(Pst,Ped,pace);
maxdeep=3;
order=1;
viewxy=[-30 30];


Shape.accessThreshold(pace/maxdeep/2/2/2);%
Oa=[0 0 0];
Ra=[0 0 0];

rvec=(Ped-Pst)/pace
num_cells=rvec(1)*rvec(2)*rvec(3);
fprintf("num_cells: %.0f\n",num_cells);% show num of cells


%% add SS lib & python path
additon_path=pwd;
if count(py.sys.path,additon_path) == 0
    insert(py.sys.path,int32(0),additon_path);
end

%% assemble c0
%     c=CSG("STL",[pwd,'/SolidWoks Files/BearingBracket/BearingB.STL'],'init');
cube1=CSG("Cube","corner",[0 0 0],Ra,[12 12 1]);
cube2=CSG("Cube","corner",[0 0 5],Ra,[12 12 1]);
c=cube1+cube2;

cyObjs=[];


for i=2:2*2:12
    for j=2:2*2:12
        cy=CSG("Cylinder",[i j 0],Ra,0.5,10);
        cyObjs=[cyObjs cy];
    end
end
firstFlg=1;
cys=[];
for cy=cyObjs
    if firstFlg==1
        firstFlg=0;
        cys=cy;
    else
        cys=cys+cy;
    end
end
%% tmp output
% c.set_display_args([Pst(1) Pst(2) Pst(3)],Ped,pace/5,'viewxy',viewxy);
% c.csg2stl('/home/cflin/Documents/MATLAB/MatlabCode/TopCSG/NNew_Data/RotateSample/CSG_plates');
% 
% cys.set_display_args([Pst(1) Pst(2) Pst(3)],Ped,pace/5,'viewxy',viewxy);
% cys.csg2stl('/home/cflin/Documents/MATLAB/MatlabCode/TopCSG/NNew_Data/RotateSample/CSG_cylinders');
% 
limitedCube=CSG("Cube","corner",[0 0 0+0.1],Ra,[12 12 6]+[0 0 -0.1]);
% limitedCube.set_display_args([Pst(1) Pst(2) Pst(3)],Ped,pace/5,'viewxy',viewxy);
% limitedCube.csg2stl('/home/cflin/Documents/MATLAB/MatlabCode/TopCSG/NNew_Data/RotateSample/CSG_limitedCube');
% 
% limitedCys=limitedCube*cys;
% limitedCys.set_display_args([Pst(1) Pst(2) Pst(3)],Ped,pace/5,'viewxy',viewxy);
% limitedCys.csg2stl('/home/cflin/Documents/MATLAB/MatlabCode/TopCSG/NNew_Data/RotateSample/CSG_limitedCylinders');

c=c+(limitedCube*cys);



%---------------------------assemble c

% show model
clf;
c.set_display_args([Pst(1) Pst(2) Pst(3)],Ped,pace/5,'viewxy',viewxy);
c.display_csg();
% c.csg2stl('/home/cflin/Documents/MATLAB/MatlabCode/TopCSG/NNew_Data/RotateSample/initModel');

V0=1;
%%
% time and calculate Volume
tic
fcmv=FCM_V(Pst,Ped,pace,maxdeep,order,@c.calSF,@(X) ones(size(X,1),1));% |||1 dV
V0=fcmv.calIntegral_V();
fprintf('V0: %f   ,Time: %f\n',V0,toc);


%% build Dirichlet/Neumann boundary
eepsD=1e-1;
eepsN=1e-1;

% DC2d=Line([0 0 0],[CubePed(1) 0 0]);
DC2d=Rect([0 0 0],[12 12 0],false);
Dskt=Sketch([0 0 0],[0 0 0],1e-9,DC2d);
Dirich_csg=CSG();Dirich_csg.init(Dskt);
Dirich_csg.saveAs('Dir');
Dirich_csg.judge_func=@(X)  abs(X(:,3))< eepsD*0.35;
%------------------------------------------Neu

Ncir=Rect([0 0 0],[12 12 0],false);
Nskt=Sketch([0 0 6],[0 0 0],1e-9,Ncir);
Neuman_csg=CSG();
Neuman_csg.init(Nskt,'Neu');
Neuman_csg.judge_func=@(X) X(:,1)>0 & X(:,1)<12 & X(:,2)>0 & X(:,2)<12 &  abs(X(:,3)-6)<eepsN;
Neuman_csg.fdv=@cal_NeuF;

fcmdv=FCM_dV(Pst,Ped,pace,maxdeep,order,@c.calSDF,@(X) ones(size(X,1),1));% |||1 dV
S0=fcmdv.calIntegral_S(Dirich_csg)
Sstd=12*12;
relaSD=(S0-Sstd)/Sstd

S1=fcmdv.calIntegral_S(Neuman_csg)
S1std=0.25
relaSN=(S1-S1std)/S1std

%% show model
clf;
c.set_display_args([Pst(1) 0 Pst(3)],Ped,pace/2,'viewxy',viewxy);
c.saveAs('c');
c.display_csg();
% c.set_display_args([Pst(1) 0 Pst(3)],Ped,pace/8,'viewxy',viewxy);
% c.csg2stl('./orgModel');



%% init mp(save handle)
mp=ModelPlus(Pst,Ped,pace,order,maxdeep);
mp.c=c;
mp.Dirich_csg=Dirich_csg;
mp.Neuman_csg=Neuman_csg;
mp.V0=V0;
mp.viewxy=viewxy;
mp.E=2e11*1e-3;
mp.u=0.3;
if 1 && order<3
    saveKeH=SaveKe(mp,@compute_B_in_local,mp.pace,mp.order,mp);
    mp.saveKe=saveKeH;
end

%% set args here
mp.fixedDir=1;
mp.fixedNeu=1;
mp.iscontrast=0;
mp.isrecord=1;
mp.frac=1.2;
mp.maxloop=100;
mp.interp_eeps=pace/(2^(maxdeep-1));
mp.interp_eeps=pi/2/200;
%% save handle here
for i=1:length(cyObjs)
    mp.handleMap(['cyObj' num2str(i)])=cyObjs(i);
end
mp.handleMap('lenObj')=length(cyObjs);

%% init fmt
tic
fmt=FeatureMappingTable(c,Pst,Ped,pace);
fmt.reflash_table();
tini=toc;
mp.recorder.time_maintain_fmt(end+1)=tini;
mp.fmt=fmt;
fprintf('num_node: %f\n',mp.id_cnt);

%% init x
x0=[];
lb=[];
ub=[];
for cyObj=cyObjs
    %         x0=[x0 cyObj.rootH.r cyObj.rootH.tx cyObj.rootH.ty];
        x0=[x0 cyObj.rootH.r];
        lb=[lb 0 ];
        ub=[ub cyObj.rootH.r*2];
end
x0=x0';
lb=lb';
ub=ub';
%---------------------------------end fill

mp.handleMap('x0')=x0;
mp.handleMap('lb')=lb;
mp.handleMap('ub')=ub;
mp.handleMap('modify_func')=@modify_c_by_x;
mp.handleMap('constrast_list')= ...
    {};
modify_c_by_x(x0,mp);

end


function modify_c_by_x(x,mp)
Len=mp.handleMap('lenObj');
for i=1:Len
    curObj=mp.handleMap(['cyObj' num2str(i)]);
    curObj.rootH.x=x(i*2-1);
    curObj.rootH.y=x(i*2-0);
end
end

function ret=cal_NeuF(X)

lenX=size(X,1);
% 1 N
coef=(1-sin(vecnorm(X(:,1:2)-[9,9],2,2)./(9*sqrt(2)).*(pi/2))).^8;
ret=[zeros(lenX,2),ones(lenX,1)*-50*1e3.*coef];

end